SOME HERMITE-HADAMARD INEQUALITIES INVOLVING WEIGHTED INTEGRAL OPERATORS VIA -CONVEX FUNCTIONS

SOME HERMITE-HADAMARD INEQUALITIES INVOLVING WEIGHTED INTEGRAL OPERATORS VIA -CONVEX FUNCTIONS

In this work, we establish new integral inequalities of Hermite-Hadamard type, within the framework of generalized integrals, which contain the Riemann-Liouville fractional integrals as particular case. We use a definition of convexity that includes the classical convex, m-convex, s-convex functions...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2023-01, Vol.13 (4), p.1461
Hauptverfasser: Korus, P, Valdes, J.E. Napoles
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
Convex functions
Convexity
Fractional calculus
Inequalities
Inequalities (Mathematics)
Inequality
Integrals
Operators (mathematics)
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Zusammenfassung:In this work, we establish new integral inequalities of Hermite-Hadamard type, within the framework of generalized integrals, which contain the Riemann-Liouville fractional integrals as particular case. We use a definition of convexity that includes the classical convex, m-convex, s-convex functions, among others. We show that several known results from the literature are closely related to ours. Keywords: Hermite-Hadamard integral inequality, generalized integral operators, (h, s, m)-convex functions. AMS Subject Classification: 26D10, 26A33, 26A51.
ISSN:2146-1147
2146-1147